Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals

Abstract

The Heisenberg-Kitaev model is a paradigmatic model to describe the magnetism in honeycomb-lattice Mott insulators with strong spin-orbit coupling, such as A${}_2$IrO${}_3$ (A = Na, Li) and $\alpha$-RuCl${}_3$. Here we study in detail the physics of the Heisenberg-Kitaev model in an external magnetic field. Using a combination of Monte-Carlo simulations and spin-wave theory we map out the classical phase diagram for different directions of the magnetic field. Broken SU(2) spin symmetry renders the magnetization process rather complex, with sequences of phases and metamagnetic transitions. In particular, we find various large-unit-cell and multi-Q phases including a vortex-crystal phase for a field in the [111] direction. We also discuss quantum corrections in the high-field phase.

5+9 pages, 4+8 figures; v2: discussion of quantum effects and Klein duality extended, references added, several minor improvements

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Cited by in corpus (76)

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• Weak-field induced nonmagnetic state in a Co-based honeycomb
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• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• Unconventional spin dynamics in the honeycomb-lattice material $\alpha$-RuCl${}_3$: high-field ESR studies
• Spin-Space Groups and Magnon Band Topology
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
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• Comprehensive study of the dynamics of a classical Kitaev spin liquid
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• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
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• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• The interplay of Dzyaloshinskii-Moriya and Kitaev interactions for magnonic properties of Heisenberg-Kitaev honeycomb ferromagnets
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Magnetic excitations of the field induced states in BaCo2(AsO4)2 probed by time-domain terahertz spectroscopy
• Magnon dispersion and dynamic spin response in three-dimensional spin models for $\alpha$-RuCl${}_3$
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Easy-plane multi-$\mathbf{q}$ magnetic ground state of Na${}_3$Co${}_2$SbO${}_6$
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
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• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Phonon thermal transport shaped by strong spin-phonon scattering in a Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Probing octupolar hidden order via Janus impurities
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• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Majorana correlations in the Kitaev model with ordered-flux structures
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Optical signature of the pressure-induced dimerization in the honeycomb iridate $\alpha$-Li${}_2$IrO${}_3$
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Spin vestigial orders in extended Heisenberg-Kitaev models near hidden SU(2) points: Application to Na${}_2$Co${}_2$TeO${}_6$
• Magnetic vortex liquid and anomalous thermal Hall conductivity in frustrated magnets with bond-dependent interactions
• Photoinduced Floquet topological magnons in Kitaev magnets
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Ferrimagnetism from triple-q order in Na${}_2$Co${}_2$TeO${}_6$
• Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet $\beta$-${\text{Li}}_2{\text{IrO}}_3$
• Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $\beta -{\text{Li}}_2{\text{IrO}}_3$
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Magnon Condensation in Dimerized Antiferromagnets with Spin-Orbit Coupling
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• Topological phase transitions and thermal Hall effect in a noncollinear spin texture
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Cobalt-Based Pyroxenes: A New Playground for Kitaev Physics and Ising Model Realization
• $J_{\mathrm{eff}}$ = 1/2 Hyperoctagon Lattice in Cobalt Oxalate Metal-Organic-Framework
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
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• Inferring Hidden Symmetries of Exotic Magnets from Detecting Explicit Order Parameters
• Ferrimagnetism from quantum fluctuations in Kitaev materials
• Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• Exact results relating spin-orbit interactions in two dimensional strongly correlated systems
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• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
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• Bond disorder in extended Heisenberg-Kitaev models: Spin textures and in-gap states in the high-field regime
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
• Field-tunable quadruple-$Q$ states driven by momentum-space frustration
• Stability of ordered and disordered phases in the Heisenberg-Kitaev model in a magnetic field
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Topological magnons in a non-coplanar magnetic order on the triangular lattice